Two in three conservative voters would vote yes to recognise Indigenous Australians in the constitution if a referendum was held today, but voters may have to wait until at least after the next federal election to cast a vote.

Three in four Australians, including two in three Coalition voters, would vote yes to recognise Aborigine and Torres Straight Island people in the constitution, according to a survey of 750 Indigenous people and 2700 voters from the wider community conducted by advocacy group RECOGNISE.

"I hope that it might happen on the 50th anniversary of the 1967 referendum, May 27, 2017. It is more important to get this right than to try and rush it through," Mr Abbott said in December.

The survey also found a majority of people in all States now supported the constitutional recognition. Changing the constitution requires a "double majority" – a national majority and a yes vote in at least four out of six States.

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The advocacy group wants to insert a new section in the constitution to recognise Indigenous peoples and to preserve the government's ability to pass laws for the benefit of Indigenous peoples.

Ban government racial discrimination

The advocacy group also wants to change the constitution to ban racial discrimination by government and recognise the ATSI languages as the nation's first tongues.

RECOGNISE joint campaign director Tanya Hosch said the findings showed Australians' eagerness to vote to include recognition as part of the constitution.

"This confirms that when you ask them to make this decision in a democratic vote, our fellow Australians are prepared to say yes in the sort of overwhelming numbers that would absolutely carry this referendum," she said.

The findings come ahead of the 48th anniversary of the 1967 referendum next Wednesday. In the referendum an overwhelming 90.77 per cent of Australians voted yes to remove discriminatory provisions in the constitution, the highest yes vote recorded in a federal referendum.